ABSTRACT
The introduction of 2-norm and n-normed linear space in 1965 paved the way for the development of n-normed linear space in fuzzy setting namely fuzzy n-normed linear space during 2005. Cubic n-normed linear space (C-n-nls) is a recently developed structure that combines fuzzy n-normed space and interval-valued fuzzy n-normed linear space. The concept of 2-inner product space, n-inner product space fuzzy n-inner product space and cubic set motivated the development of the present study namely cubic n-inner product space (C-n-ips). We inter-relate C-n-nls and C-n-ips and provide some interesting theorems on them. We also introduce the notion of cubic intuitionistic linear space and provide some results on it.
